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arXiv 2005.14375quant-ph
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量子操纵的可共享性及其与纠缠的关系

Shareability of Quantum Steering and its Relation with Entanglement

Biswajit Paul, Kaushiki Mukherjee

摘要:

可操纵性是介于纠缠和Bell非定域性之间的一种量子关联特性。了解这些引导相关性如何在不同方之间共享对于确保量子通信协议的安全性具有深远的应用。在这里,我们证明了三量子比特态的至多两个二分约化态可以违反三设置CJWR线性操纵不等式,而不是两个设置线性操纵不等式。这一结果解释了量子操纵关联具有有限的可共享性,有时甚至可以是非一夫一妻制的。与两个设定测量方案相比,三个设定方案更有助于深入理解三方转向相关性的可共享性。除了导引关联的分布外,本文还讨论了约化二体导引、约化态二体纠缠的不同度量与真实三体纠缠之间的关系。结果使不同类型的三方纠缠的检测。

英文摘要:

Steerability is a characteristic of quantum correlations lying in between entanglement and Bell nonlocality. Understanding how these steering correlations can be shared between different parties has profound applications in ensuring security of quantum communication protocols. Here we show that at most two bipartite reduced states of a three qubit state can violate the three settings CJWR linear steering inequality contrary to two settings linear steering inequality. This result explains that quantum steering correlations have limited shareability properties and can sometimes even be nonmonogamous. In contrast to the two setting measurement scenario, three setting scenario turns out to be more useful to develop deeper understanding of shareability of tripartite steering correlations. Apart from distribution of steering correlations, several relations between reduced bipartite steering, different measures of bipartite entanglement of reduced states and genuine tripartite entanglement are presented here. The results enable detection of different kind of tripartite entanglement.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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